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Finding the Third Proportional to 43,728 and 95,664

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Solution

The third proportional to 43,728 and 95,664 is: 209,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,728 : 95,664 = 95,664 : x
  2. Step 2: Convert to fraction form
    43,728/95,664 = 95,664/x
  3. Step 3: Cross multiply
    43,728x = 95,664 × 95,664
  4. Step 4: Simplify right side
    43,728x = 9,151,600,896
  5. Step 5: Solve for x
    x = 9,151,600,896/43,728
  6. Step 6: Final answer
    x = 209,284.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.